Our new paper has appeared in the arXiv.
Dynamical role of system-environment correlations in non-Markovian dynamics
We analyse the role played by system-environment correlations in the emergence of non-Markovian dynamics. By working within the framework developed in Breuer et al., Phys. Rev. Lett. 103, 210401 (2009), we unveil a fundamental connection between non-Markovian behaviour and dynamics of system-environment correlations. We derive an upper bound to the derivative of rate of change of the distinguishability between different states of the system that explicitly depends on the development and establishment of correlations between system and environment. We illustrate our results using a fully solvable spin-chain model, which allows us to gain insight on the mechanisms triggering non-Markovian evolution.
In this paper we studied how certain measures of non-Markovianity are related to the development of correlations between a quantum system and its environment. This was a collaboration with Laura Mazzola, Kavan Modi and Mauro Paternostro.